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3 years ago

Find the total amount of interest earned on this savings account.

Mathematics

2 answers:

loris [4]3 years ago

8 0

Answer:

Step-by-step explanation:

797.30

Eddi Din [679]3 years ago

4 0

Answer:

$ 797.30

Step-by-step explanation:

Given in question

Principal =$4,556

Rate of interest = 2.5%

Time period = 7 years

Now we calculate the interest as Simple interest (SI) method

SI = $\frac{(principal * Rate * Time)}{100}$

SI = $\frac{(4,556 * 2.5 * 7)}{100}$

SI = $\frac{79730}{100}$

So , SI = $ 797.30 Answer

You might be interested in

How many decimals can 2/5 represent?

Alexus [3.1K]

2/5 in decimal form is 0.4.

Hope this helps!

5 0

3 years ago

Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that (a)

UNO [17]

Answer:

a) P=0.226

b) P=0.6

c) P=0.0008

d) P=0.74

Step-by-step explanation:

We know that the seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Therefore, we have 46 balls.

a) We calculate the probability that are 3 red, 2 blue, and 2 green balls.

We calculate the number of possible combinations:

$C_7^{46}=\frac{46!}{7!(46-7)!}=53524680$

We calculate the number of favorable combinations:

$C_3^{12}\cdot C_2^{16}\cdot C_2^{18}=660\cdot 120\cdot 153=12117600$

Therefore, the probability is

$P=\frac{12117600}{53524680}\\\\P=0.226$

b) We calculate the probability that are at least 2 red balls.

We calculate the probability withdrawn of 1 or none of the red balls.

We calculate the number of possible combinations:

$C_7^{46}=\frac{46!}{7!(46-7)!}=53524680$

We calculate the number of favorable combinations: for 1 red balls

$C_1^{12}\cdot C_7^{34}=12\cdot 1344904=16138848$

Therefore, the probability is

$P_1=\frac{16138848}{53524680}\\\\P_1=0.3$

We calculate the number of favorable combinations: for none red balls

$C_7^{34}=5379616$

Therefore, the probability is

$P_0=\frac{5379616}{53524680}\\\\P_0=0.1$

Therefore, the the probability that are at least 2 red balls is

$P=1-P_1-P_0\\\\P=1-0.3-0.1\\\\P=0.6$

c) We calculate the probability that are all withdrawn balls are the same color.

We calculate the number of possible combinations:

$C_7^{46}=\frac{46!}{7!(46-7)!}=53524680$

We calculate the number of favorable combinations:

$C_7^{12}+C_7^{16}+C_7^{18}=792+11440+31824=44056$

Therefore, the probability is

$P=\frac{44056}{53524680}\\\\P=0.0008$

d) We calculate the probability that are either exactly 3 red balls or exactly 3 blue balls are withdrawn.

Let X, event that exactly 3 red balls selected.

$P(X)=\frac{C_3^{12}\cdot C_4^{34}}{53524680}=0.57\\$

Let Y, event that exactly 3 blue balls selected.

$P(Y)=\frac{C_3^{16}\cdot C_4^{30}}{53524680}=0.29\\$

We have

$P(X\cap Y)=\frac{18\cdot C_3^{12} C_3^{16}}{53524680}=0.12$

Therefore, we get

$P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\\\P(X\cup Y)=0.57+0.29-0.12\\\\P(X\cup Y)=0.74$

8 0

3 years ago

Gabriella rented a bike from Jaidee's Bikes. It cost $14 plus $6 per hour. If Gabriella paid $26 total then how many hours did s

RideAnS [48]

Answer:

2 Hours

Step-by-step explanation:

14+6+6 = 26.

You start with 14, and add on 6 which gives you your starting total 20. So that's one hour. then you add another hour, adding on another $6 making the total $26 and two hours of renting time.

4 0

3 years ago

What is the slope-intercept form equation of the line that passes through (5,7) and (8,22)

JulsSmile [24]

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad(\stackrel{x_2}{8}~,~\stackrel{y_2}{22})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{22-7}{8-5}\implies \cfrac{15}{3}\implies 5\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-7=5(x-5)\\\\\\y-7=5x-25\implies y=5x-18$